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223978480 = 245111991279
BaseRepresentation
bin11010101100110…
…10001111110000
3120121110021201021
431112122033300
5424314302410
634120345224
75356533325
oct1526321760
9517407637
10223978480
11105480390
1263015214
133753155b
1421a64b4c
15149e3eda
hexd59a3f0

223978480 has 80 divisors (see below), whose sum is σ = 571392000. Its totient is φ = 80974080.

The previous prime is 223978471. The next prime is 223978487. The reversal of 223978480 is 84879322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2239784802 = 100332719006220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223978487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174481 + ... + 175759.

It is an arithmetic number, because the mean of its divisors is an integer number (7142400).

Almost surely, 2223978480 is an apocalyptic number.

223978480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223978480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696000).

223978480 is an abundant number, since it is smaller than the sum of its proper divisors (347413520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223978480 is a wasteful number, since it uses less digits than its factorization.

223978480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 223978480 is about 14965.9105970870. The cubic root of 223978480 is about 607.2983451229.

The spelling of 223978480 in words is "two hundred twenty-three million, nine hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 199 220 398 440 796 880 995 1279 1592 1990 2189 2558 3184 3980 4378 5116 6395 7960 8756 10232 10945 12790 14069 15920 17512 20464 21890 25580 28138 35024 43780 51160 56276 70345 87560 102320 112552 140690 175120 225104 254521 281380 509042 562760 1018084 1125520 1272605 2036168 2545210 2799731 4072336 5090420 5599462 10180840 11198924 13998655 20361680 22397848 27997310 44795696 55994620 111989240 223978480